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Physics Letters A

Local distinguishability of Dicke states in quantum secret sharing

Jing-Tao Wang, Gang Xu, Xiu‐Bo Chen, Xingming Sun, Heng-Yue Jia

Published Jan 31, 2017• 12 citations
Publisher
DOI
10.1016/j.physleta.2017.01.053

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In this paper, we analyze the (im)possibility of the exact distinguishability of orthogonal multipartite entangled states under restricted local operation and classical communication. Based on this local distinguishability analysis, we propose a quantum secret sharing scheme (which we call LOCC-QSS). Our LOCC-QSS scheme is quite general and cost efficient compared to other schemes. In our scheme, no joint quantum operation is needed to reconstruct the secret. We also present an interesting $(2,n)$-threshold LOCC-QSS scheme, where any two cooperating players, one from each of two disjoint groups of players, can always reconstruct the secret. This LOCC-QSS scheme is quite uncommon, as most $(k,n)$-threshold quantum secret sharing schemes have the restriction $k\ensuremath{\ge}\ensuremath{\lceil}\frac{n}{2}\ensuremath{\rceil}$.

arXiv:1403.1097•Physical Review A•Feb 20, 2015•147 citations
In this paper, we analyze the (im)possibility of the exact distinguishability of orthogonal multipartite entangled states under restricted local operation and classical communication. Based on this local distinguishability analysis, we propose a quantum secret sharing scheme (which we call LOCC-QSS). Our LOCC-QSS scheme is quite general and cost efficient compared to other schemes. In our scheme, no joint quantum operation is needed to reconstruct the secret. We also present an interesting (2,n)(2,n)(2,n)-threshold LOCC-QSS scheme, where any two cooperating players, one from each of two disjoint groups of players, can always reconstruct the secret. This LOCC-QSS scheme is quite uncommon, as most (k,n)(k,n)(k,n)-threshold quantum secret sharing schemes have the restriction $k\ensuremath{\ge}\ensuremath{\lceil}\frac{n}{2}\ensuremath{\rceil}$.